New localized excitations in a (2+1)-dimensional Broer—Kaup system
Bai Cheng-Lin (白成林)a, Liu Xi-Qiang (刘希强)b, Zhao Hong (赵红)a
a Physics Science and Information Engineering School, Liaocheng University, Liaocheng 252059, China; b Mathematical Science School, Liaocheng University, Liaocheng 252059, China
Abstract Starting with the extended homogeneous balance method and a variable separation approach, a general variable separation solution of the Broer—Kaup system is derived. In addition to the usual localized coherent soliton excitations like dromions, lumps, rings, breathers, instantons, oscillating soliton excitations, peakon and fractal localized solutions, some new types of localized excitations, such as compacton and folded excitations, are obtained by introducing appropriate lower-dimensional piecewise smooth functions and multiple-valued functions, and some interesting novel features of these structures are revealed.
Received: 23 February 2004
Revised: 07 October 2004
Accepted manuscript online:
PACS:
05.45.Yv
(Solitons)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60177009) and the Natural Science Foundation of Shandong Province (Grant No Q2003G01).
Cite this article:
Bai Cheng-Lin (白成林), Liu Xi-Qiang (刘希强), Zhao Hong (赵红) New localized excitations in a (2+1)-dimensional Broer—Kaup system 2005 Chinese Physics 14 285
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